A Glossary of Math Terms
A-B | C | D-F | G-L | M-O | P-Q | R | S | T-Z


G
G | H | I | K | L

gallon (gal.)
a US customary measure of capacity equal to 4 quarts


geometric sequence
a sequence of numbers in which the next number is obtained by multiplying the previous number in the sequence by the same number each time


geometric solid 
a figure in space; a 3-dimensional figure, even if it is hollow 


geometry
the branch of mathematics that deals with points, lines, surfaces and solids, and examines their properties, measurement, and mutual relations in space; the study of shapes
Geometry comes from a Greek word meaning “to measure the earth.”


gradient
the slope of a line; a measure of how steep a line is


gram (g.)
the basic metric unit of mass


graph 
a display that provides a pictorial representation of data
Common types of data graphs include line graphs, bar graphs, circle graphs, frequency diagrams, histograms and pictograms. Lines and other shapes can also be graphed onto a coordinate system.


graph of a whole number 
a heavy dot placed directly above that number on the number line


greater than (>) 
appearing to the right of another number on the number line


greatest common factor (GCF) 
the greatest number that is a factor of two or more numbers; the largest factor that is an exact divisor of two or more numbers


grid 
a series of evenly spaced horizontal and vertical lines that helps you locate points on a map, graph, or coordinate system


gross pay 
total earnings before deductions


grouping symbols 
symbols like ( ), [ ], and { } that show which operation is to be done first


graph of a whole number 
a heavy dot placed directly above that number on the number line


greater than (>) 
appearing to the right of another number on the number line


greatest common factor (GCF) 
the greatest number that is a factor of two or more numbers; the largest factor that is an exact divisor of two or more numbers


grid 
a series of evenly spaced horizontal and vertical lines that helps you locate points on a map, graph, or coordinate system


gross pay 
total earnings before deductions


grouping symbols 
symbols like ( ), [ ], and { } that show which operation is to be done first


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H

height (usually abbreviated h in formulas)
how tall something is; the "vertical" measurement


height of a triangle (usually abbreviated h in formulas)
a line drawn perpendicular to the base of a triangle; the same as altitude of a triangle


hemisphere
a half of a sphere, made by cutting the sphere along a plane that contains the center point of the sphere


heptagon 
a polygon with seven sides


hexagon 
a polygon with six sides


horizontal 
running left to right; running parallel to the skyline of a calm ocean


horsepower (hp) 
a US customary unit of power. 1 horsepower = 500 foot-pounds-per-second


hour (h.)
a unit of time equal to 60 minutes; the amount of time it takes the earth to rotate 15°


hourly 
every hour


hourly wage 
the rate of pay for each hour worked
Contrast this with salary, which offers an annual, monthly, biweekly or weekly amount no matter how many hours are worked.


hyperbola 
a type of conic section; the curve made by the section of a cone that has been cut at an angle more 
steeply inclined to the base than the side of a cone


hypotenuse 
in a right triangle, the side opposite the right angle

In the above right triangle, the hypotenuse is the side marked in red. The hypotenuse does not help form the right angle of the triangle; it is opposite the right angle.

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I

icosahedron
a solid with twenty faces
If the icosahedron is regular, the twenty faces will be equilateral triangles.


identical
exactly the same shape and size; congruent


identity element for an operation
an element which doesn’t does change other elements when tit is combined with them under a certain operation
The identity element for addition is 0 because when you add 0 to any number, you don’t change the value of the original number. The identity element for multiplication is 1, because when you mutliply any number by 1, you don’t change the value of the original number.Set have identity elements for their operations, too. For the operation called union, the identity element is f, the null set. A È f = A. For the operation called intersection, the identity element is the universal set. B Ç the universal set = B.


identity mapping
a mapping in which each element maps onto itself
The line y = x is an identity mapping.


image
the result when a number is mapped; the result when an object is transformed; an element of the range of a function


improper fraction 
a fraction whose numerator is greater than its denominator; a fraction that can be reduced to an 
integer or mixed number


inch (in. or ”)
a US customary unit of length equal to 1/12 foot


increase 
to make a number larger


independent variable 
one of the variables in a relationship, the one whose value determines the value of the other (dependent) variable


inequality 
a statement that two quantities are not equal
We use the symbol to show that two quantities are unequal. We can also use the  symbols > and < to show certain inequalities.


infinite set
a set with an infinite, or endless, number of members
We cannot list every member of an infinite set, because our list would never end. 
Instead, we write a few of the members of the set, just enough to tell what the pattern is, what the rule is for going from the first member to the second, etc., and then we use the ellipsis punctuation marks (…) to show that the set follows that same rule forever. For example, {even numbers} = {2, 4, 6,…}


input 
for a function, the value substituted for the independent variable


integers 
the set I = {…,-3,-2,-1,0,1,2,3,…}


intercept
the point where the graph of an equation crosses an axis


interest 
the amount of money paid for the privilege of using someone else's money


interest rate 
the percent used to determine the amount of interest


intersecting lines and curves 
lines or curves in a plane that cross or touch
If I graph two lines and they intersect at a point, that point will be a solution to both equations. 


intersection of two sets 
the set that contains all common elements of two given sets
If the two sets have the empty set as their intersection, it means they have no elements in common.
In a Venn diagram, we show that there is an intersection between two sets by drawing two overlapping circles. The part that overlaps is the intersection.


invariants
properties of an object and an image that are the same before an after a transformation
For example, I can rotate a shape 90° but that transformation doesn’t change the area of the shape, so area would be an invariant.


inverse operations 
operations that reverse the effect of each other, like addition and subtraction or multiplication and division


inverting a fraction 
interchanging the numerator and the denominator of a fraction


irrational numbers
numbers that cannot be expressed as the ratio of two integers
Examples of irrational numbers are pi and the square root of 2. When expressed in decimal notation, irrational numbers are non-terminating decimals. 


isometries
transformations which do not change the length of the figures being transformed
Rotation, reflections and translations (turns, flips, and slides) are isometric 
transformations. Shapes that have been rotated, reflected or translated keep the same dimensions. 


isosceles trapezoid 
a trapezoid in which the nonparallel sides are congruent


isosceles triangle 
a triangle with two sides of equal length
In an isosceles triangle, two angles will be of equal measure, too.

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K

Kelvin (° K.) 
a scale of temperature measured in degrees Celsius from absolute zero (-273.15° Celsius)


kilo- 
a prefix that indicates 1000 units


kilogram (kg.)
a unit of mass equal to 1000 grams


kilometer (km.)
a unit of distance equal to 1000 meters


kite 
a quadrilateral that has two pairs of congruent adjacent sides.


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L

lateral area 
the area of the surfaces, other than bases, of a prism, pyramid, cylinder, or cone


lateral faces 
the faces of a prism or pyramid that are not bases


latitude
the number that measures how far north or south one is of the equator; the horizontal lines on a map; 
lines parallel to the equator on a world map


leading zero 
a zero that is the only digit before a decimal point
The leading zero can be dropped without changing the value of a number. (0.1 = .1)
You can add as many leading zeroes as you like to a decimal number. This is useful to do before dividing a decimal number by a power of ten. For example, if I have the number .45 and I want to divide it by 100, I would start by adding leading zeroes to make the number 00.45. Then I can divide by 100 simply by moving the decimal point two places to the left. So .45 divided by 100 = .0045.


least 
smallest


least common denominator (LCD) 
the least common multiple of the denominators of the fractions being compared


least common multiple (LCM) 
the smallest number other than zero that is a multiple of two or more numbers
For example, the multiples of 2 are {2, 4, 6, 8, 10, 12,…}. The multiples of 5 are {5, 10, 15, 20, 25,…}. The smallest number that is both a multiple of 2 and a multiple of 5 is the number 10, so 10 is the least common multiple of 2 and 5.


legs 
in a right triangle, the sides that form the right angle


less than (<)
appearing to the left of a given number on the number line


like fractions 
fractions that have the same denominator


like terms 
terms that have the same variable raised to the same power
Like terms in an equation or an expression can be combined. For example, the expression 4 a + 5 b + 2a –3a can be simplified as combining like terms to 3a + 5b.


line
a straight path of points that extend indefinitely in opposite directions


line graph 
a graph that displays data as points that are connected by segments

The above figure is a line graph that compares two variables (income and expenses) over time.


line of symmetry 
a line that divides a figure into two halves that are mirror images of each other
A figure may have more than one line of symmetry or it may have none at all.


line segment 
the shortest distance between two points; two points on a line, plus all the points in between. 
The two points are called the endpoints of the segment.


linear equation 
an equation for which the graph is a line
Linear equations can be written in the form y = ax + b, where a is the slope of the line and b is the y-intercept.


linear measurement 
a measure of length or distance


linear relationship 
a relationship in which there is a constant rate of change between the two variables; for each unit 
increase in one variable, there is a constant change in the other variable


liter (l.)
the basic metric unit of volume (capacity) equal to 1,000 cubic centimeters


locus
the line, or path, of a set of points that follow some rule
A circle is a locus. The rule for making a circle is to take two points and allow the line segment between them to be the radius of the circle. Keep one point fixed as the center point of the circle, but rotate the other point 360°. The path of points equidistant from the center point becomes 
the circle.


longitude
the number that measures how far east or west one is from the zero, or prime, meridian; the lines that run vertically on some world maps; the curved lines that run from the north to the south pole on some maps


lowest terms 
describing fractions that are not able to be reduced; simplest form
See simplest form for further details.

 




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